MathJax 数学符号

本篇文章简要地列出了 MathJax 中的所有符号(可能不全),并按照形状进行分类。

区间形状

区间类型 代码
\langle\rangle
\lfloor\rfloor
\lceil\rceil
() ()
[] []
{} \{\}
\lmoustache\rmoustache
|| \lvert\rvert
\lVert\rVert
\lgroup\rgroup

希腊字母

大写 小写
A A α \alpha
B B β \beta
Γ,Γ \Gamma,\varGamma γ \gamma
Δ,Δ \Delta,\varDelta δ \delta
E E ϵ,ε \epsilon,\varepsilon
Z Z ζ \zeta
H H η \eta
Θ,Θ \Theta,\varTheta θ,ϑ \theta,\vartheta
I I ι \iota
K K κ,ϰ \kappa,\varkappa
Λ,Λ \Lambda,\varLambda λ \lambda
M M μ \mu
N N ν \nu
Ξ,Ξ \Xi,\varXi ξ \xi
O O ο \omicron
Π,Π \Pi,\varPi π,ϖ \pi,\varpi
P P ρ,ϱ \rho,\varrho
Σ,Σ \Sigma,\varSigma σ,ς \sigma,\varsigma
T T τ \tau
Υ,Υ \Upsilon,\varUpsilon υ \upsilon
Φ,Φ \Phi,\varPhi ϕ,φ \phi,\varphi
X X χ \chi
Ψ,Ψ \Psi,\varPsi ψ \psi
Ω,Ω \Omega,\varOmega ω \omega

希伯来字母

\aleph
\beth
\daleth
\gimel

字体与注释

使用 \mathxx{} 时,公式中的所有字母将会转换成对应字体。而使用 \textxx{} 时,里面的特殊字符也不会被转义。

ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 原始字体
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathrm{}
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathbf{}
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathrm{}
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathcal{}
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathit{}
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathscr{}
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathfrak{}
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathsf{}
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789 \mathtt{}
\alpha in text mode α \text{}
\alpha in textrm mode α \textrm{}
\alpha in textbf mode α \textbf{}
\alpha in textit mode α \textit{}
\alpha in textsf mode α \textsf{}
\alpha in texttt mode α \texttt{}
αα \boldsymbol{\alpha}\mathbf{\alpha}

颜色

命令 \color{}{} 中的第一个参数可以是颜色名称,也可以是 RGB 参数。第二个参数则是正式染色的文字。

展示 代码
ABCDabcd1234 \color{black}{ABCDabcd1234}
ABCDabcd1234 \color{grey}{ABCDabcd1234}
ABCDabcd1234 \color{silver}{ABCDabcd1234}
ABCDabcd1234 \color{white}{ABCDabcd1234}
ABCDabcd1234 \color{maroon}{ABCDabcd1234}
ABCDabcd1234 \color{red}{ABCDabcd1234}
ABCDabcd1234 \color{yellow}{ABCDabcd1234}
ABCDabcd1234 \color{lime}{ABCDabcd1234}
ABCDabcd1234 \color{olive}{ABCDabcd1234}
ABCDabcd1234 \color{green}{ABCDabcd1234}
ABCDabcd1234 \color{teal}{ABCDabcd1234}
ABCDabcd1234 \color{auqa}{ABCDabcd1234}
ABCDabcd1234 \color{blue}{ABCDabcd1234}
ABCDabcd1234 \color{navy}{ABCDabcd1234}
ABCDabcd1234 \color{purple}{ABCDabcd1234}
ABCDabcd1234 \color{fuchsia}{ABCDabcd1234}

模算术 \mod 的用法和比较

展示 代码
x21(mod5) x^2\equiv 1(\mod 5)
x21(mod5) x^2\equiv 1(\bmod 5)
x21(mod5) x^2\equiv 1\pmod{5}

分数 \frac 的用法和比较

行内 行间 代码
a1b1 a1b1 \frac{a-1}{b-1}
21+21+21 21+21+21 \cfrac{2}{1+\cfrac{2}{1+\cfrac{2}{1}}}
a1b1 a1b1 \dfrac{a-1}{b-1}
a1b1 a1b1 \tfrac{a-1}{b-1}
a1b1 a1b1 {a-1 \over b-1}

组合数 \binom 的用法和比较(附上 \brace\brack

行内 行间 代码
(n+1m+1) (n+1m+1) \binom{n+1}{m+1}
(n+1m+1) (n+1m+1) {n+1\choose m+1}
(n+1m+1) (n+1m+1) \dbinom{n+1}{m+1}
(n+1m+1) (n+1m+1) \tbinom{n+1}{m+1}
[n+1m+1] [n+1m+1] {n+1\brack m+1}
{n+1m+1} {n+1m+1} {n+1\brace m+1}

方框的用法和比较

展示 代码
x3+y3=z3 \boxed{x^3+y^3=z^3}
abcd1234 \boxed{abcd 1234}
abcd 1234 \fbox{abcd 1234}

占位符 \phantom 的用法和比较

展示 代码
Side AngleSideS ideAngle S \begin{array}{l} \text{Side Angle Side} \\ \text{S} \hphantom {\text{ ide}} \text{A} \hphantom{\text{ngle }} \text{S}\end{array}
1111 \begin{matrix}1&-1\\ \phantom{}\\1&\phantom{-}1\end{matrix}
(abc)(abc) \dbinom{\dfrac ab}c \dbinom{\vphantom{\dfrac ab}}c

公式大小

展示 代码
AB {\tiny AB}
AB {\Tiny AB}
AB AB
AB \large AB
AB \Large AB
AB \LARGE AB
AB {\huge AB}
AB {\Huge AB}

其它基本符号

\#,\$,\%,\&,\_,\|

#,$,%,&,_,

公式上下层符号

展示 代码
123´ \acute{123}
123¯ \bar{123}
123˘ \breve{123}
123ˇ \check{123}
123˙ \dot{123}
123¨ \ddot{123}
123 \dddot{123}
123 \ddddot{123}
123` \grave{123}
123^ \hat{123}
123˚ \mathring{123}
123~ \tilde{123}
123 \vec{123}
123 \overleftarrow{123}
123 \overrightarrow{123}
123 \overleftrightarrow{123}
123 \overline{123}
123^ \widehat{123}
123~ \widetilde{123}
123 \underline{123}
abc123 \underset{123}{abc}
abc123 \overset{123}{abc}
123abc \underbrace{123}_{abc}
123abc \xleftarrow[123]{abc}
123abc \xrightarrow[123]{abc}

箭头

箭头 代码
,,, \uparrow,\downarrow,\leftarrow,\rightarrow
,,, \Uparrow,\Downarrow,\Leftarrow,\Rightarrow
,,, \upuparrows,\downdownarrows,\leftleftarrows,\rightrightarrows
,,, \nwarrow,\nearrow,\swarrow,\searrow
,,, \upharpoonleft,\upharpoonright,\downharpoonleft,\downharpoonright
,,, \leftharpoondown,\leftharpoonup,\rightharpoondown,\rightharpoonup
,, \longleftarrow,\longrightarrow,\longleftrightarrow
,, \Longleftarrow,\Longrightarrow,\Longleftrightarrow
,, \nleftarrow,\nrightarrow,\nleftrightarrow
,, \nLeftarrow,\nRightarrow,\nLeftrightarrow
, \leftrightarrow,\updownarrow
, \Leftrightarrow,\Updownarrow
, \twoheadleftarrow,\twoheadrightarrow
, \hookleftarrow,\hookrightarrow
, \Lleftarrow,\Rrightarrow
, \Lsh,\Rsh
, \dashleftarrow,\dashrightarrow
, \looparrowleft,\looparrowright
, \leftarrowtail,\rightarrowtail
, \circlearrowleft,\circlearrowright
, \curvearrowleft,\curvearrowright
, \leftrightarrows,\rightleftarrows
, \rightleftharpoons,\leftrightharpoons
\longmapsto
\mapsto
, \leftrightsquigarrow,\rightsquigarrow

点和省略号

展示 代码
ab a\cdot b
ab a\cdotp b
ab a\centerdot b
\cdots
\ddots
\dots
. \ldotp
\ldots
\vdots

函数

展示 代码
sin \sin cos \cos tan \tan
cot \cot csc \csc sec \sec
arccos \arccos arcsin \arcsin arctan \arctan
sinh \sinh cosh \cosh tanh \tanh
coth \coth exp \exp log \log
lg \lg ln \ln max \max
min \min gcd \gcd

微积分与极限

展示 代码
\nabla \partial , \prime,'
inf \inf ,,, \int,\iint,\iiint,\iiiint \oint
lim \lim lim inf \liminf lim sup \limsup
inj lim \injlim proj lim \projlim lim \varinjlim
lim \varlimsup lim \varliminf lim \varprojlim
\infty \idotsint

类字母符号

展示 代码
k,,,,ϝ,, \Bbbk,\complement,\backepsilon,\Game,\digamma,\hbar,\hslash
,ı,ȷ,,,,§,, \Im,\imath,\jmath,\ell,\mho,\Re,\S,\top,\wp

集合

展示 代码
,,, \in,\notin,\ni,\owns
,,,,, \subset,\Subset,\subseteq,\subsetneq,\nsubseteq,\nsubseteqq
,,,,, \supset,\Supset,\supseteq,\supsetneq,\nsupseteq,\nsupseteqq
,,, \subseteqq,\subsetneqq,\varsubsetneq,\varsubsetneqq
,,, \supseteqq,\supsetneqq,\varsupsetneq,\varsupsetneqq
, \emptyset,\varnothing

关系运算符

展示 代码
>,,,,,,>,, >,\ge,\geqq,\geqslant,\gg,\ggg,\gt,\gtrdot,\eqslantgtr
<,,,,,,<,, <,\le,\leqq,\leqslant,\ll,\lll,\lt,\lessdot,\eqslantless
,,,,,, \gtrapprox,\gnapprox,\gneq,\gneqq,\gvertneqq,\gtrsim,\gnsim
,,,,,, \lessapprox,\lnapprox,\lneq,\lneqq,\lvertneqq,\lesssim,\lnsim
,,,,, \gtreqless,\gtreqqless,\gtrless,\lesseqgtr,\lesseqqgtr,\lessgtr
,,,,,,, \ngeq,\ngeqq,\ngeqslant,\ngtr,\nleq,\nleqq,\nleqslant,\nless
,,, \sqsubset,\sqsupset,\sqsubseteq,\sqsupseteq
,,,,, \prec,\preccurlyeq,\curlyeqprec,\preceq,\precsim,\precapprox
,,,, \precnapprox,\precneqq,\precnsim,\nprec,\npreceq
,,,,, \succ,\curlyeqsucc,\succcurlyeq,\succeq,\succsim,\succapprox
,,,, \succnapprox,\succneqq,\succnsim,\nsucc,\nsucceq
,,,,,, \sim,\nsim,\thicksim,\backsim,\simeq,\backsimeq,\eqsim
,, \approx,\thickapprox,\approxeq
,,,,, \vdash,\dashv,\Vdash,\vDash,\Vvdash,\models
,,, \nvdash,\nVdash,\nVDash,\nvDash
, \ntriangleleft,\ntriangleright
,,, \trianglelefteq,\trianglerighteq,\ntrianglelefteq,\ntrianglerighteq
=,,,,, =,\eqcirc,\equiv,\ne,\cong,\ncong
,, \Doteq,\doteq,\triangleq
,, \Bumpeq,\bumpeq,\circeq
, \propto,\varpropto

算术与逻辑运算符

展示 代码
,, \circ,\bullet,\bigcirc
,,,, \cap,\Cap,\bigcap,\doublecap,\sqcap
,,,,, \cup,\Cup,\bigcup,\doublecup,\sqcup,\bigsqcup
+,,±,,,,, +,-,\pm,\mp,\dotplus,\uplus,\biguplus,\sum
,×,÷,, \ast,\times,\div,\divideontimes,\prod
,, \boxplus,\boxminus,\boxtimes
,,,,,, \odot,\bigodot,\ominus,\oplus,\bigoplus,\oslash,\otimes
16=643 \sqrt{16}=\sqrt[3]{64}
,,,, \lor,\vee,\bigvee,\veebar,\curlyvee
,,,,, \land,\wedge,\barwedge,\bigwedge,\doublebarwedge,\curlywedge
¬,¬ \lnot,\neg
, \because,\therefore
,, \forall,\exists,\nexists

几何符号

部分几何符号可能归入了特殊符号中。

展示 代码
,, \angle,\measuredangle,\sphericalangle
, \perp,\bot
,,, \mid,\nmid,\parallel,\nparallel
,,, \shortmid,\shortparallel,\nshortmid,\nshortparallel

特殊符号

展示 代码
,, \bigtriangleup,\triangle,\vartriangle
, \bigtriangledown,\triangledown
,, \triangleleft,\vartriangleleft,\lhd
,, \triangleright,\vartriangleright,\rhd
,, \bigstar,\blacklozenge,\blacksquare
,,, \blacktriangle,\blacktriangledown,\blacktriangleleft,\blacktriangleright
,, \Box,\square,\boxdot
,,,®, \circledast,\circledcirc,\circleddash,\circledR,\circledS
, \dagger,\ddagger
, \diagdown,\diagup
,, \diamond,\Diamond,\lozenge
,,, \heartsuit,\diamondsuit,\clubsuit,\spadesuit
,, \flat,\natural,\sharp
, \checkmark,\surd
,, \smile,\frown,\asymp
\ulcorner\urcorner
\llcorner\lrcorner
LATEX,TEX \LaTeX,\TeX
\Finv
\maltese
\backprime
\between
\multimap
\pitchfork
\star
¥ \yen
\intercal
\wr
\backslash

其它未分类符号

展示 代码
, \leftthreetimes,\rightthreetimes
,⨿ \coprod,\amalg
sup \sup
arg \arg
deg \deg
dim \dim
hom \hom
ker \ker
Pr \Pr
det \det
,, \ltimes\rtimes,\bowtie,\Join

\DeclareMathOperator 定义运算符

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$\DeclareMathOperator{\lcm}{lcm} \lcm(4,6)=2$
$\lcm(12,18)=24$

lcm(4,6)=2 lcm(12,18)=24

\buildrel{} \over{}

用于自创运算符,这个运算符拥有两行。

1
\buildrel{\rm def} \over{:=}

:=def

\substack

用于编写大型运算符的条件时分行。

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\sum_{\substack{1\lt i\lt 3 \\1\le j\lt 5}}a_{ij}

1<i<31j<5aij

\begin ... \end

aligned

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5
\begin{aligned}
3x - 4y &= 5 \\
x + 7 &= -2y
\end{aligned}
\tag{3.1c}

(3.1c)3x4y=5x+7=2y

align

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3
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\begin{align}
(a+b)^2 &= (a+b)(a+b) \tag{1} \\
&= a^2 + ab + ba + b^2 \tag{2} \\
&= a^2 + 2ab + b^2 \tag{3}
\end{align}

(1)(a+b)2=(a+b)(a+b)(2)=a2+ab+ba+b2(3)=a2+2ab+b2

array

l,c,r 分别表示当前一列是居左,居中,还是居右。如果有 |,那么就代表隔开。

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\begin{array}{lc|r}
aaa & bbb & ccc\\
d & e & f
\end{array}

aaabbbcccdef

cases

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|x| =
\begin{cases}
x & \text{ if } x\ge 0 \\
-x & \text{ if } x \lt 0
\end{cases}$$

|x|={x if x0x if x<0

Bmatrix

1
\begin{Bmatrix} a & b\\ c & d\end{Bmatrix}

{abcd}

bmatrix

1
\begin{bmatrix} a & b\\ c & d\end{bmatrix}

[abcd]

matrix

1
\begin{matrix} a & b\\ c & d\end{matrix}

abcd

pmatrix

1
\begin{pmatrix} a & b\\ c & d\end{pmatrix}

(abcd)

vmatrix

1
\begin{vmatrix} a & b\\ c & d\end{vmatrix}

|abcd|

Vmatrix

1
\begin{Vmatrix} a & b\\ c & d\end{Vmatrix}

abcd

eqnarray

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\begin{eqnarray}
(x-1)^2 &=& (x-1)(x-1) &=& x^2-2x + 1 \\
(x-1)^3 &=& (x-1)(x-1)(x-1) &=& (x-1)^2(x-1)
\end{eqnarray}

(x1)2=(x1)(x1)=x22x+1(x1)3=(x1)(x1)(x1)=(x1)2(x1)

其它

\tag

注意 \tag 只有某些情况下才可以使用,如 \aligned 不可以,\align 可以。

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3
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\begin{align}
(a+b)^2 &= (a+b)(a+b) \tag{1} \\
&= a^2 + ab + ba + b^2 \tag{2} \\
&= a^2 + 2ab + b^2 \tag{3}
\end{align}

(1)(a+b)2=(a+b)(a+b)(2)=a2+ab+ba+b2(3)=a2+2ab+b2

\hline, \hdashline

用于在矩阵中画横线,\hline 前者为实线,\hdashline 为虚线。

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\hline
x_{11} & x_{12} \\
x_{21} & x_{22} \\
\hdashline
x_{31} & x_{32}
\end{matrix}

x11x12x21x22x31x32

\left, \right\big

根据括号内的公式高度,智能调整两侧括号的高度,一个 \left 必须和一个 \right 匹配。如果只想要其中一个,那么用 \right. 来代替。

展示 代码
(1+2)=(12) \left(1+2\right)=\left(\dfrac{1}{2}\right)
1+2=12 \left\lgroup 1+2\right\rgroup=\left\lgroup\dfrac{1}{2}\right\rgroup
[1+2]=[12] \left[1+2\right]=\left[\dfrac{1}{2}\right]
{1+2}={12} \left\{1+2\right\}=\left\{\dfrac{1}{2}\right\}
1+2=12 \left\uparrow 1+2\right\downarrow=\left\downarrow\dfrac{1}{2}\right\uparrow
1+2=12 \left\Uparrow 1+2\right\Downarrow=\left\Downarrow\dfrac{1}{2}\right\Uparrow
1+2=12 \left\updownarrow 1+2\right\Updownarrow=\left\Updownarrow\dfrac{1}{2}\right\updownarrow
|1+2|=|12| \left\vert 1+2\right\vert=\left\vert\dfrac{1}{2}\right\vert
1+2=12 \left\Vert 1+2\right\Vert=\left\Vert\dfrac{1}{2}\right\Vert
1+2=12 \left\bracevert 1+2\right\bracevert=\left\bracevert\dfrac{1}{2}\right\bracevert
1+2=12 \left\lceil 1+2\right\rceil=\left\lceil\dfrac{1}{2}\right\rceil
1+2=12 \left\lfloor 1+2\right\rfloor=\left\lfloor\dfrac{1}{2}\right\rfloor
/1+2\=/12\ \left/ 1+2\right\backslash=\left/\dfrac{1}{2}\right\backslash
1+2=12 \left\lmoustache 1+2\right\rmoustache=\left\lmoustache\dfrac{1}{2}\right\rmoustache

也可以自行直接指定大小:

1
\Bigg[\bigg[\Big[\big[ [

[[[[[

\not

在任何一个关系运算符前面添加一个 \not,即可得到划斜线的运算符,如:

展示 代码
\not\equiv
\not=
\not\in
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